Math 10 - Factors and Multiples of Whole Numbers
find the LCM of 12 and 30
12 = (2)x(2)x(3) 30= (2)x5x(3) = 2x2x3x5 = 60
factor 80 using a factor latter
2 (80 2(40 2(20 2(10 5 =2x2x2x2x5
find the GCF of 44 and 70
44 = (2)x2x11 70 = (2)x5x7 = 2
factor 80 using a factor tree
80 / \ 40 (2) / \ 20 (2) / \ 10 (2) / \ (5) (2) =2x2x2x2x5
what is a natural number that is greater than one and is not a prime number
composite number
prime factorization
of a natural number is the number written as a product of its prime factors
greatest common factor (GCF)
the greatest factor the numbers have in common
least common multiple (LCM)
the least number that is divisible by each number
how to find the LCM
1. write the prime factorization of each number 2. determine the greatest power of each prime factor in a list
how to find the GCF
1. write the prime factorization of each number 2. multiply together the factors that appear in each prime factorization